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Finding the Fourth Proportional to 12,143.20, 18,200.18 and 5,120.50

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Solution

The fourth proportional to 12,143.20, 18,200.18 and 5,120.50 is: 7,674.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,143.20 : 18,200.18 = 5,120.50 : x
  2. Step 2: Convert to fraction form
    12,143.20/18,200.18 = 5,120.50/x
  3. Step 3: Cross multiply
    12,143.20x = 18,200.18 × 5,120.50
  4. Step 4: Simplify right side
    12,143.20x = 93,194,021.69
  5. Step 5: Solve for x
    x = 93,194,021.69/12,143.20
  6. Step 6: Final answer
    x = 7,674.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.